Numerical algorithm to solve a class of variable order fractional integral-differential equation based on Chebyshev polynomials

DOI10.1155/2015/902161zbMath1394.65113OpenAlexW1826504022WikidataQ59120210 ScholiaQ59120210MaRDI QIDQ1666881

Kangwen Sun, Ming Zhu

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/902161

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items

Haar wavelet collocation method for variable order fractional integro-differential equations with stability analysis, Numerical scheme to solve a class of variable-order Hilfer-Prabhakar fractional differential equations with Jacobi wavelets polynomials, An operational matrix technique based on Chebyshev polynomials for solving mixed Volterra-Fredholm delay integro-differential equations of variable-order, Numerical simulation of the variable order fractional integro-differential equation via Chebyshev polynomials, New numerical algorithm to solve variable-order fractional integrodifferential equations in the sense of Hilfer-Prabhakar derivative, A numerical scheme based on the Chebyshev functions to find approximate solutions of the coupled nonlinear sine-Gordon equations with fractional variable orders, Vieta-Fibonacci operational matrices for spectral solutions of variable-order fractional integro-differential equations, On spectral methods for solving variable-order fractional integro-differential equations, Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations, Fractional-order shifted Legendre collocation method for solving non-linear variable-order fractional Fredholm integro-differential equations, Effective numerical technique for solving variable order integro-differential equations

Cites Work

• A study on the convergence of variational iteration method
• A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
• Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation
• Adomian decomposition method for solution of nonlinear differential algebraic equations
• Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
• Variable order and distributed order fractional operators
• Fractional integration and differentiation of variable order
• A wavelet operational method for solving fractional partial differential equations numerically
• Generalized differential transform method: Application to differential equations of fractional order
• Convergence of the Adomian method applied to a class of nonlinear integral equations
• Linear approximation of transfer function with a pole of fractional power
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
• Mechanics with variable-order differential operators
• Unnamed Item